0,5,3,3,8,6,4,1,1,3,9,3,4,4,4,6,3,3,6,3,2,5,0,3,3,7,3,6,4,1,4,3,3,4,0,5,3,1,4,7,7,5,2,4,6,7,3,3,2,2,3,5,3,1,8,2,3,9,2,6
5,0,3,4,7,1,3,4,1,0,5,1,3,2,8,2,2,1,3,7,4,1,4,4,4,3,4,5,5,8,3,1,3,5,2,6,2,0,4,2,6,5,5,5,3,2,6,4,3,2,3,2,0,1,3,1,2,6,5,2
3,3,0,2,4,5,2,1,3,2,3,5,5,1,1,3,4,3,4,1,9,6,8,1,3,7,8,3,2,2,3,2,3,3,4,3,2,3,5,4,2,0,2,0,3,2,1,0,3,1,8,0,4,0,5,7,4,4,3,5
3,4,2,0,5,7,6,4,6,5,5,2,4,3,7,3,2,5,4,2,3,7,3,3,4,5,5,4,5,4,8,5,4,4,2,7,4,7,2,5,8,4,3,2,2,4,0,2,2,2,5,6,1,4,4,1,7,1,4,3
8,7,4,5,0,2,0,4,4,4,3,4,6,2,0,1,3,6,5,3,4,5,3,3,2,6,1,2,7,2,7,5,2,1,2,1,3,3,3,5,4,2,3,2,2,3,3,2,2,5,2,3,3,4,5,3,4,1,4,5
6,1,5,7,2,0,3,1,3,3,1,3,3,4,2,7,5,8,3,4,3,5,6,4,3,2,6,3,7,6,2,4,7,3,6,5,3,3,5,3,3,5,0,6,2,4,4,5,3,6,4,6,3,2,4,2,11,6,4,6
4,3,2,6,0,3,0,4,2,3,6,4,3,8,4,1,3,4,5,4,4,5,1,2,2,2,5,7,3,4,3,4,7,2,4,3,3,2,2,2,6,4,5,4,4,4,3,4,2,1,5,4,4,2,6,1,6,1,0,4
1,4,1,4,4,1,4,0,4,3,2,4,1,0,4,3,7,5,6,3,4,4,4,6,1,3,2,7,3,2,1,8,4,5,4,1,2,4,2,4,7,4,1,5,1,3,5,4,5,0,2,2,2,1,3,4,7,10,1,5
1,1,3,6,4,3,2,4,0,1,5,5,4,2,2,1,4,0,3,5,3,3,2,4,3,3,5,3,4,5,4,4,0,2,4,1,2,4,3,1,3,4,2,3,2,3,3,4,2,2,1,5,0,3,5,0,5,3,0,2
3,0,2,5,4,3,3,3,1,0,3,8,4,5,6,4,5,5,3,4,3,2,10,2,2,1,5,5,3,4,2,2,4,6,2,3,5,1,1,4,7,7,0,4,0,5,1,1,3,5,2,4,1,3,2,2,4,6,3,3
9,5,3,5,3,1,6,2,5,3,0,5,5,5,3,4,4,3,3,1,6,4,7,3,3,4,5,1,3,5,4,5,1,2,4,4,3,5,4,4,4,5,1,6,5,1,4,3,4,3,3,1,2,2,3,1,3,5,8,1
3,1,5,2,4,3,4,4,5,8,5,0,5,7,5,2,4,7,3,3,4,2,3,6,3,2,2,3,6,2,6,5,5,3,2,3,1,4,2,3,5,2,4,4,4,3,5,3,1,4,3,6,5,5,2,2,4,7,3,4
4,3,5,4,6,3,3,1,4,4,5,5,0,0,4,7,5,6,2,2,6,2,3,7,2,6,6,2,5,5,1,5,3,1,4,5,1,4,3,0,3,5,5,2,2,1,5,5,1,3,5,3,1,2,1,5,4,4,3,5
4,2,1,3,2,4,8,0,2,5,5,7,0,0,3,0,5,2,6,0,1,1,3,1,3,2,1,5,6,3,2,7,2,1,2,11,2,1,2,2,4,4,4,5,3,5,3,2,3,2,2,2,4,3,5,3,6,4,2,3
4,8,1,7,0,2,4,4,2,6,3,5,4,3,0,2,1,3,1,4,3,4,3,6,3,3,4,3,2,1,2,6,2,1,2,5,4,1,2,3,0,2,7,4,2,0,2,1,2,1,2,4,2,3,2,3,4,2,2,2
6,2,3,3,1,7,1,3,1,4,4,2,7,0,2,0,1,7,7,3,6,2,4,3,1,2,2,2,4,1,4,8,6,5,5,0,3,5,2,5,6,2,2,4,1,4,1,0,3,3,3,4,1,4,6,1,6,4,2,2
3,2,4,2,3,5,3,7,4,5,4,4,5,5,1,1,0,2,4,3,4,6,4,3,4,4,3,1,2,6,4,2,3,4,5,7,8,4,4,4,4,5,3,4,2,3,5,5,3,3,5,1,5,3,2,1,1,1,5,2
3,1,3,5,6,8,4,5,0,5,3,7,6,2,3,7,2,0,1,4,3,3,3,3,6,5,6,4,1,3,5,6,2,2,5,3,3,6,0,0,3,3,2,1,2,4,3,3,7,2,2,7,2,3,4,2,5,4,6,1
6,3,4,4,5,3,5,6,3,3,3,3,2,6,1,7,4,1,0,8,3,3,6,4,2,1,4,8,7,6,3,2,5,2,4,1,3,4,7,5,6,4,3,6,8,3,6,4,3,4,6,4,7,3,4,3,3,1,5,6
3,7,1,2,3,4,4,3,5,4,1,3,2,0,4,3,3,4,8,0,2,5,10,6,2,5,4,2,3,5,4,3,2,6,4,3,5,4,3,7,3,3,5,3,2,5,7,3,3,3,4,2,0,5,6,3,3,6,4,3
2,4,9,3,4,3,4,4,3,3,6,4,6,1,3,6,4,3,3,2,0,2,4,5,3,3,3,3,6,3,4,7,4,2,3,4,10,4,3,1,4,4,5,4,5,4,8,4,0,2,4,5,0,2,6,3,7,3,2,6
5,1,6,7,5,5,5,4,3,2,4,2,2,1,4,2,6,3,3,5,2,0,0,5,4,3,5,5,1,5,0,6,1,4,5,6,2,3,3,5,4,3,4,4,3,4,3,3,6,2,1,5,1,2,4,4,3,4,2,5
0,4,8,3,3,6,1,4,2,10,7,3,3,3,3,4,4,3,6,10,4,0,0,6,3,2,6,4,2,2,5,3,4,3,5,3,7,0,2,3,3,1,6,4,2,3,5,2,2,6,2,6,3,3,5,4,3,2,2,4
3,4,1,3,3,4,2,6,4,2,3,6,7,1,6,3,3,3,4,6,5,5,6,0,4,3,6,2,6,0,4,3,4,4,3,5,1,2,3,3,2,1,3,6,3,4,3,7,2,3,5,3,6,5,0,3,6,5,3,1
3,4,3,4,2,3,2,1,3,2,3,3,2,3,3,1,4,6,2,2,3,4,3,4,0,4,1,5,3,4,3,3,4,4,1,4,3,1,3,7,1,3,5,4,2,1,4,3,3,3,1,4,5,7,2,3,2,2,1,3
7,3,7,5,6,2,2,3,3,1,4,2,6,2,3,2,4,5,1,5,3,3,2,3,4,0,4,4,6,8,3,2,6,3,6,2,2,8,2,7,4,3,5,3,0,5,3,5,2,1,4,5,3,4,2,4,3,4,4,1
3,4,8,5,1,6,5,2,5,5,5,2,6,1,4,2,3,6,4,4,3,5,6,6,1,4,0,2,4,5,4,3,3,3,5,3,3,8,0,3,5,4,8,3,3,5,4,5,2,1,7,6,5,3,2,3,2,3,3,0
6,5,3,4,2,3,7,7,3,5,1,3,2,5,3,2,1,4,8,2,3,5,4,2,5,4,2,0,4,1,5,2,4,1,5,1,3,1,4,2,4,9,1,2,2,3,3,3,5,1,3,3,2,3,2,2,5,2,3,2
4,5,2,5,7,7,3,3,4,3,3,6,5,6,2,4,2,1,7,3,6,1,2,6,3,6,4,4,0,5,6,6,7,5,8,4,5,3,5,4,7,4,2,3,4,1,5,5,11,4,5,3,1,4,5,7,2,9,6,2
1,8,2,4,2,6,4,2,5,4,5,2,5,3,1,1,6,3,6,5,3,5,2,0,4,8,5,1,5,0,7,3,3,3,3,1,3,4,4,3,1,3,3,6,2,7,4,1,2,4,2,6,3,3,2,2,6,5,1,4
4,3,3,8,7,2,3,1,4,2,4,6,1,2,2,4,4,5,3,4,4,0,5,4,3,3,4,5,6,7,0,3,2,6,2,3,1,0,4,5,3,1,3,3,4,4,3,3,5,1,3,5,2,4,7,4,4,4,6,2
3,1,2,5,5,4,4,8,4,2,5,5,5,7,6,8,2,6,2,3,7,6,3,3,3,2,3,2,6,3,3,0,5,4,2,3,6,3,3,5,4,2,3,1,2,3,4,2,1,2,1,2,1,3,3,3,2,2,0,3
3,3,3,4,2,7,7,4,0,4,1,5,3,2,2,6,3,2,5,2,4,1,4,4,4,6,3,4,7,3,2,5,0,9,2,1,1,4,2,1,5,1,1,5,2,2,4,4,3,2,3,3,3,4,3,4,3,3,3,2
4,5,3,4,1,3,2,5,2,6,2,3,1,1,1,5,4,2,2,6,2,4,3,4,4,3,3,1,5,3,6,4,9,0,4,1,2,4,1,4,4,5,4,3,3,4,1,3,6,6,9,1,5,5,4,4,5,4,3,5
0,2,4,2,2,6,4,4,4,2,4,2,4,2,2,5,5,5,4,4,3,5,5,3,1,6,5,5,8,3,2,2,2,4,0,4,2,4,1,2,5,4,3,3,3,3,1,3,4,3,5,1,2,3,1,2,3,5,2,3
5,6,3,7,1,5,3,1,1,3,4,3,5,11,5,0,7,3,1,3,4,6,3,5,4,2,3,1,4,1,3,3,1,1,4,0,2,6,6,3,4,7,6,2,3,3,4,4,2,2,2,2,5,2,2,3,5,3,3,2
3,2,2,4,3,3,3,2,2,5,3,1,1,2,4,3,8,3,3,5,10,2,7,1,3,2,3,3,5,3,1,6,1,2,2,2,0,1,2,6,7,4,4,2,6,3,1,4,3,2,5,3,2,0,2,1,3,2,2,7
1,0,3,7,3,3,2,4,4,1,5,4,4,1,1,5,4,6,4,4,4,3,0,2,1,8,8,1,3,4,0,3,4,4,4,6,1,0,6,2,2,1,1,0,1,4,3,2,4,2,4,2,4,2,2,6,0,5,2,4
4,4,5,2,3,5,2,2,3,1,4,2,3,2,2,2,4,0,7,3,3,3,2,3,3,2,0,4,5,4,4,3,2,1,1,6,2,6,0,7,7,4,1,3,5,2,2,4,6,6,6,6,2,3,2,6,3,2,3,5
7,2,4,5,5,3,2,4,1,4,4,3,0,2,3,5,4,0,5,7,1,5,3,3,7,7,3,2,4,3,5,5,1,4,2,3,6,2,7,0,3,5,2,4,1,3,4,3,3,2,3,2,4,6,3,3,2,6,1,2
7,6,2,8,4,3,6,7,3,7,4,5,3,4,0,6,4,3,6,3,4,4,3,2,1,4,5,4,7,1,3,4,5,4,5,4,7,2,7,3,0,6,1,5,4,4,3,2,3,4,2,5,3,7,4,6,5,3,5,3
5,5,0,4,2,5,4,4,4,7,5,2,5,4,2,2,5,3,4,3,4,3,1,1,3,3,4,9,4,3,1,2,1,5,4,7,4,1,4,5,6,0,6,5,4,3,5,3,6,4,2,4,3,5,7,1,6,5,4,5
2,5,2,3,3,0,5,1,2,0,1,4,5,4,7,2,3,2,3,5,5,4,6,3,5,5,8,1,2,3,3,3,1,4,3,6,4,1,1,2,1,6,0,3,3,4,1,1,4,1,3,3,3,4,2,3,6,4,3,2
4,5,0,2,2,6,4,5,3,4,6,4,2,5,4,4,4,1,6,3,4,4,4,6,4,3,3,2,3,6,3,1,5,3,3,2,2,0,3,4,5,5,3,0,4,4,3,3,4,3,4,5,4,3,4,6,8,4,4,3
6,3,3,2,2,2,4,1,2,0,5,4,2,3,2,1,2,2,8,2,5,3,2,3,2,0,3,2,4,2,4,2,2,3,3,3,6,1,5,1,4,4,3,4,0,7,3,2,1,4,2,4,2,3,1,3,7,4,2,3
7,2,2,4,3,4,4,3,3,5,1,3,1,5,0,4,3,4,3,5,4,4,3,4,1,5,5,3,1,7,4,3,2,4,3,3,3,4,2,3,4,3,4,4,7,0,1,6,4,2,1,5,2,3,5,6,2,2,4,5
3,6,1,0,3,4,3,5,3,1,4,5,5,3,2,1,5,3,6,7,8,3,5,3,4,3,4,3,5,4,3,4,4,1,1,4,1,3,2,4,3,5,1,3,3,1,0,8,3,1,3,4,2,6,2,7,4,3,4,4
3,4,0,2,2,5,4,4,4,1,3,3,5,2,1,0,5,3,4,3,4,3,2,7,3,5,5,3,5,1,3,2,4,3,3,4,4,2,4,3,2,3,1,3,2,6,8,0,3,4,5,6,3,2,5,0,3,2,2,5
2,3,3,2,2,3,2,5,2,3,4,1,1,3,2,3,3,7,3,3,0,6,2,2,3,2,2,5,11,2,5,1,3,6,4,2,3,4,6,3,3,6,4,4,1,4,3,3,0,4,0,2,6,1,1,3,2,2,4,2
2,2,1,2,5,6,1,0,2,5,3,4,3,2,1,3,3,2,4,3,2,2,6,3,3,1,1,1,4,4,1,2,2,6,3,2,2,2,6,2,4,4,1,3,4,2,1,4,4,0,2,4,3,3,3,2,3,1,3,2
3,3,8,5,2,4,5,2,1,2,3,3,5,2,2,3,5,2,6,4,4,1,2,5,1,4,7,3,5,2,3,1,3,9,5,2,5,4,6,3,2,2,3,4,2,1,3,5,0,2,0,4,2,3,8,3,2,2,3,3
5,2,0,6,3,6,4,2,5,4,1,6,3,2,4,4,1,7,4,2,5,5,6,3,4,5,6,3,3,6,5,2,3,1,1,2,3,2,6,2,5,4,3,5,4,5,4,6,2,4,4,0,0,4,1,5,4,2,5,2
3,0,4,1,3,3,4,2,0,1,2,5,1,4,2,1,5,2,7,0,0,1,3,6,5,3,5,2,1,3,2,1,3,5,2,5,2,4,2,4,3,3,3,4,2,2,2,3,6,3,2,0,0,5,6,3,4,5,2,2
1,1,0,4,4,2,2,1,3,3,2,5,2,3,3,4,3,3,3,5,2,2,3,5,7,4,3,3,4,3,4,3,4,5,3,2,0,2,3,6,7,5,4,3,3,3,6,2,1,3,3,4,5,0,2,2,1,2,4,4
8,3,5,4,5,4,6,3,5,2,3,2,1,5,2,6,2,4,4,6,6,4,5,0,2,2,2,2,5,2,7,3,3,4,1,2,2,2,2,3,4,7,2,4,1,5,2,5,1,3,8,1,6,2,0,1,4,2,2,9
2,1,7,1,3,2,1,4,0,2,1,2,5,3,3,1,1,2,3,3,3,4,4,3,3,4,3,2,7,2,4,3,4,4,2,3,1,6,6,3,6,1,3,6,3,6,7,0,3,2,3,5,3,2,1,0,2,3,4,1
3,2,4,7,4,11,6,7,5,4,3,4,4,6,4,6,1,5,3,3,7,3,3,6,2,3,2,5,2,6,4,2,3,5,3,5,3,0,3,2,5,6,6,8,7,2,4,3,2,3,2,4,4,1,4,2,0,1,5,5
9,6,4,1,1,6,1,10,3,6,5,7,4,4,2,4,1,4,1,6,3,4,2,5,2,4,3,2,9,5,4,2,3,4,5,3,2,5,2,6,3,5,4,4,4,2,3,2,2,1,2,2,5,2,2,3,1,0,3,2
2,5,3,4,4,4,0,1,0,3,8,3,3,2,2,2,5,6,5,4,2,2,2,3,1,4,3,3,6,1,6,0,3,3,2,3,2,2,3,1,5,4,3,4,2,4,4,2,4,3,3,5,2,4,2,4,5,3,0,0
6,2,5,3,5,6,4,5,2,3,1,4,5,3,2,2,2,1,6,3,6,5,4,1,3,1,0,2,2,4,2,3,2,5,3,2,7,4,5,2,3,5,2,3,3,5,4,5,2,2,3,2,2,4,9,1,5,2,0,0